LetXbe a Banach space and letLΦ(I,X)denote the space of OrliczX-valued integrable functions on the unit intervalIequipped with the Luxemburg norm. In this paper, we present a distance formula dist(f1,f2,LΦ(I,G))Φ, whereGis a closed subspace ofX, andf1,f2∈LΦ(I,X ). Moreover, some related results concerning best simultaneous approximation inLΦ(I,X)are presented.

S elumalai

R vijayaragavan

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Journal	International Journal of Mathematics and Mathematical Sciences
Publisher	Hindawi Limited
ISSN	0161-1712
Open Access	Yes